2/15+2/35+2/63+2/99的简便计算
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 00:13:19
![2/15+2/35+2/63+2/99的简便计算](/uploads/image/z/11344-40-4.jpg?t=2%2F15%2B2%2F35%2B2%2F63%2B2%2F99%E7%9A%84%E7%AE%80%E4%BE%BF%E8%AE%A1%E7%AE%97)
2/15+2/35+2/63+2/99的简便计算
2/15+2/35+2/63+2/99的简便计算
2/15+2/35+2/63+2/99的简便计算
2/15+2/35+2/63+2/99
=2/3-2/5+2/5-2/7+2/7-2/9+2/9-2/11
=2/3-2/11
=16/33
2/15+2/35+2/63+2/99
= 2/(3×5) + 2/(5×7) + 2/(7×9) + 2/(9×11)
= (1/3 - 1/5) + (1/5 - 1/7) + (1/7 - 1/9) + (1/9 - 1/11)
= 1/3 - 1/11
= (11-3)/33
= 8/33
收起